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21200221200 = 2435243410857
BaseRepresentation
bin10011101111101000…
…011011010000010000
32000201110221211012210
4103233220123100100
5321404224034300
613423402152120
71350234623034
oct235750332020
960643854183
1021200221200
118a99a76a74
124137ab2640
131ccb2489b2
1410518721c4
158412ec050
hex4efa1b410

21200221200 has 120 divisors (see below), whose sum is σ = 69490878688. Its totient is φ = 5521904640.

The previous prime is 21200221199. The next prime is 21200221213. The reversal of 21200221200 is 212200212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153829 + ... + 257028.

Almost surely, 221200221200 is an apocalyptic number.

21200221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200221200 is an abundant number, since it is smaller than the sum of its proper divisors (48290657488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21200221200 is a wasteful number, since it uses less digits than its factorization.

21200221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410921 (or 410910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21200221200 its reverse (212200212), we get a palindrome (21412421412).

The spelling of 21200221200 in words is "twenty-one billion, two hundred million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 51600 410857 821714 1232571 1643428 2054285 2465142 3286856 4108570 4930284 6162855 6573712 8217140 9860568 10271425 12325710 16434280 17666851 19721136 20542850 24651420 30814275 32868560 35333702 41085700 49302840 53000553 61628550 70667404 82171400 88334255 98605680 106001106 123257100 141334808 164342800 176668510 212002212 246514200 265002765 282669616 353337020 424004424 441671275 493028400 530005530 706674040 848008848 883342550 1060011060 1325013825 1413348080 1766685100 2120022120 2650027650 3533370200 4240044240 5300055300 7066740400 10600110600 21200221200